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Showing 1 to 2 of 2 for “"Legendrian knot theory"”.
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Circle-Valued Generating Family Invariants
<p>Legendrian knot theory is the study of topological knots and links that satisfy an additional, geometric condition. This condition, imposed by a contact structure, makes it possible for certain knots to be topologically equivalent without being Legendrian equivalent. In recent years, real-valued …
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Connections between Floer-type invariants and Morse-type invariants of Legendrian knots.
We investigate existing Legendrian knot invariants and discover new connections between the theory of generating families, normal rulings and the Chekanov-Eliashberg differential graded algebra: CE-DGA). Given a Legendrian knot $\sK$ with generic front projection $\sfront$, we define a …